Noncoincidence index of manifolds

Mike Hoffman

Vol. 115 (1984), No. 2, 373–383

DOI: 10.2140/pjm.1984.115.373

Abstract

For a connected topological manifold M we define the noncoincidence index of M, a topological invariant reflecting the abundance of fixed-point-free self-maps of M. We give some theorems on noncoincidence index and compute the noncoincidence index of the homogeneous manifold U(n)∕H, where H is conjugate to U(1)^k ×U(n−k).

Mathematical Subject Classification 2000

Primary: 55M20

Secondary: 57S99

Milestones

Received: 4 March 1983

Revised: 29 April 1983

Published: 1 December 1984